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How to solve the maths GCSE question about Hannah's sweets that went viral

Students took to Twitter to moan about how difficult the question was. I agree, there is something inherently comic about the question, since you start off talking about Hannah and sweets and then - BANG - a...
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Answered by MINGWEN B. Maths tutor
9676 Views

Expand and simplify (5x – 2y)(3x – 4y)

In this question, we are asked to 'expand' out the brackets. What this means is we need each term in one set of brackets (5x and -2y) to be multiplied by each term in the other set of brackets (3x and -4y). ...
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Answered by Maymana A. Maths tutor
20539 Views

Solve the equation 5^x = 8, giving your answer to 3 significant figures.

Since there is an x written as a power here, it suggests that this question should be solved using logs (here assume I am using the natural logarithm, which has base e). Taking logs of both sides of the equa...
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Answered by Hannah M. Maths tutor
23339 Views

Prove that 1/(tanx) + tanx = 1/sinxcosx

The key here is to realise that tanx = sinx/cosx. If we write out the left hand side of the equation in terms of sine and cosine we get: cosx/sinx + sinx/cosx These two fractions can be put over a common den...
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Answered by Hannah M. Maths tutor
23193 Views

Factorising a Quadratic

Factorising a quadratic polynomial of the form, ax 2 + bx + c = 0 can be done in many depends depending on the values we have for a, b and c. Some simple polynomial could be done simply by recognition. For e...
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